Synchrotron Radiation Calculator

Calculate synchrotron radiation from relativistic charged particles in magnetic fields

Provide either magnetic field OR bending radius (the other will be calculated):

About Synchrotron Radiation

Synchrotron radiation is emitted when charged particles are accelerated radially (curved path). It becomes significant for relativistic particles and is the principle behind modern X-ray light sources.

Key Properties:

  • Power ∝ γ⁴/ρ² ∝ (E/m₀)⁴
  • Critical energy: εc ∝ γ³/ρ
  • Opening angle: θ ≈ 1/γ
  • Spectrum: broad, continuous

Scaling:

Synchrotron radiation scales as (m_e/m)⁴, making it ~10¹³ times weaker for protons than electrons at the same energy. This is why electron synchrotrons are the primary X-ray light sources.